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Finding the Fourth Proportional to 5,853.88, 8,781.08 and 1,694.31

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Solution

The fourth proportional to 5,853.88, 8,781.08 and 1,694.31 is: 2,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.88 : 8,781.08 = 1,694.31 : x
  2. Step 2: Convert to fraction form
    5,853.88/8,781.08 = 1,694.31/x
  3. Step 3: Cross multiply
    5,853.88x = 8,781.08 × 1,694.31
  4. Step 4: Simplify right side
    5,853.88x = 14,877,871.65
  5. Step 5: Solve for x
    x = 14,877,871.65/5,853.88
  6. Step 6: Final answer
    x = 2,541.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.